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3. The following is information on current spot and forward term structures (assume the corporate debt pays interest annually). Calculate cumulative probability of default

 

3. The following is information on current spot and forward term structures (assume the corporate debt pays interest annually). Calculate cumulative probability of default of B corporate Bond over the next two years. Bond Treasury B Corporate Bond Spot 1 Year 3% 7.5% Spot 2 Year 4.75% 9.15% (1) Using the term structure of default probabilities, calculate the implied default probability for B Corporate Bond during the first year. (2) Calculate the implied forward rate on one-year maturity Treasuries to be delivered in one year. (3) Calculate the implied forward rate on one-year maturity B Corporate Bond to be delivered in one year. (4) Using the term structure of default probabilities, calculate the implied default probability for B Corporate Bond during the second year. (5) Calculate the cumulative probability of repayment of B Corporate Bond over the next two years.

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SOLUTION 1 Using the term structure of default probabilities we can calculate the implied default probability for B Corporate Bond during the first year as follows Default probability for B Corporate ... blur-text-image

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